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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 45
Type: Invited
Date/Time: Sunday, July 29, 2007 : 4:00 PM to 5:50 PM
Sponsor: IMS
Abstract - #308125
Title: Semiparametric Bivariate Density Estimation with Irregularly Truncated Data
Author(s): Chad Schafer*+
Companies: Carnegie Mellon University
Address: Department of Statistics, Pittsburgh, PA, 15213,
Keywords: semiparametric method ; truncated data ; astronomy
Abstract:

This work develops an estimator for the bivariate density given a sample of data truncated to a nonrectangular region. Such inference problems occur in various fields; the motivating application here was a problem in astronomy. The approach is semiparametric, combining a nonparametric local likelihood density estimator with a simple parametric form to account for the dependence of the two random variables. Large sample theory for M-estimators is utilized to approximate the distribution for the estimator. Results are described from the analysis of data from the measurements of quasars.


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Revised September, 2007